Find the exact perimeter of quadrilateral ABCD plotted below. These are the points:

A(-5,-2)
B(1,5)
C(5,-2)
D(2,-6)

Choose 1 answer:
A: 5 + √85 + 2√65
B: 5 + 2√85 + √65
C: √10 + 2√85 + √65
D: 19 + 2√65​

Answers

Answer 1

The exact perimeter of the quadrilateral ABCD plotted is 5 + √85 + 2√65.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

The perimeter of the quadrilateral ABCD is plotted. These are the points:

A(-5,-2)

B(1,5)

C(5,-2)

D(2,-6)

The distance of AB

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(1-(-5))^2 + (5-(-2))^2} \: \rm units.\\\\D = \sqrt{85}[/tex]

The distance of BC

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(5-(1))^2 + (-2-(5))^2} \: \rm units.\\\\D = \sqrt{65}[/tex]

The distance of CD

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(2-(5))^2 + (-6-(-2))^2} \: \rm units.\\\\D = \sqrt{65}[/tex]

The distance of AD

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(2-(-5))^2 + (-6-(-2))^2} \: \rm units.\\\\D = 5[/tex]

Therefore, The perimeter of the quadrilateral ABCD is 5 + √85 + 2√65.

Learn more about the distance between two points here:

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Related Questions

30.1593 rounded to the nearest hundredth NOW PLEASE

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Answer:

30.16

Step-by-step explanation:

PLSS HELPPPPPPP IMMA FAIL

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Answer:

it should 3

Step-by-step explanation:

3.3333 because it is divided by 3

1 pts
9) What is the area of the figure below? Round your answer to the nearest tenth (1 place
value) if needed. ONLY TYPE THE NUMBER, NOT THE UNITS. (Ex: If your answer is 13
cm, type 13)
3 m 6.6 m
?

Answers

Answer:

I think the answer is 19.8. The formula to calculate the area of the rhomboid is b × h (3.3 × 6.6 = 19.8)

Orlando has a bank statement balance of $414.25 and $5.90 service charge. His check register shows $374.16 and he has two outstanding checks of $26.54 and $21.78. What is his true balance?


$414.25


$408.35


$48.32


$365.93


Orlando has a bank statement balance of $414.25 and $5.90 service charge. His check register shows $374.16 and he has two outstanding checks of $26.54 and $21.78. Orlando should:


Keep the adjusted checkbook balance.


Write the true balance in his checkbook.


Write the balance from the bank statement in his checkbook.




Answers

Answer:

$365.93

$368.26

Step-by-step explanation:

The true balance :

Statement balance - outstanding cheques

Statement balance = 414.25

Outstanding cheques = 26.54 and 21.76

414.25−26.54−21.78 = 365.93

Adjusted Chequebook balance

Chequebioknvakance will en adjyat d for service charge :

Chequebook balance - service charge

$374.16 - $5.90 = $368.26

THIS IS ALSO URGENT- I NEED AN ANSWER ASAP PLS!

Answers

Answer:

c

Step-by-step explanation:

I had to multiply 4 and 3 to get the answer

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Answer:

sepa pero suerte no hablo ingles

please solve! thanks!

Answers

Answer:

uhm no

Step-by-step explanation:

Answer:

arc 1 = 108 degrees

angle 2 = 54 degrees

Step-by-step explanation:

180 - 72 = 108   (half circle -72)

draw a line from center of circle to tangent point.

this line is perpendicular to the tangent line.

all radii are equal.

then, triangle made with the new line is isosceles with two equal angles.

those angles are 36 degrees each  (180 - 108 = 72, 72/2 = 36)

line drawn from center to tangent point is 90 degrees so:

90 - 36 = 54 degrees

You guessed 141 envelopes, but there were actually 150 envelopes.

NEED ANSWER ASAP

Answers

Answer:

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

I don't really know what your asking here but there we're 9 other envelopes

When a ribbon is cut into 3 equal pieces,each piece is _______ m long (correct to 2 decimal places).

Answers

Answer:

How long was the ribbon before it was cut?

Step-by-step explanation:

1. In school lottery to win a price for "Free Domino's Pizza" it is required to select 5 numbers (in any order) out of 40 numbers.

What is the probability of winning?


2. Your sock drawer has 18 folded pairs of socks, with 8 pairs of white, 6 pairs of black, and 4 pairs of blue.

What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?

Answers

Answer:

1/8 ;

12 / 51

Step-by-step explanation:

To select any 5 numbers out of 40

Number of selection required / total numbers

Probability of winning = 5 /40 = 1/8

Total number of socks = 18

White, W = 8

Black, B = 6

Blue, C = 4

probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?

P(B) * [(P(C) + P(W)]

Probability = required outcome / Total possible outcomes

P(B) = 6 / 18 = 1/3

Without replacement :

P(W or C) = 8/17 + 4/17 = 12/17

Hence,

1/3 * 12/17

= 12 / 51

how is the orientation of and image affected by translation

Answers

Answer:

is this helping?

Step-by-step explanation:

it helps show the words better

sorry if wrong or late qwq

your amazing

Somebody Help please??????

Answers

Step-by-step explanation:

Please refer to the attachment

A circle has a radius of 14 feet. What is the exact area of the circle and what is the approximate area of the circle and What is the appropriate circumference of the circle.

Answers

Answer:

Step-by-step explanation:

Exact area of circle = πr² = 196π sq ft

Approximate area of circle = 615 sq ft

Approximate circumference = 2πr = 88 ft

Answer:

615.75ft²

Step-by-step explanation:

A=πr²=π·14²≈615.75ft²

I need help with this last question.
A tent has the shape of a triangular prism. Its volume is 25 m cube.
Find one possible whole-number dimension of the prism.
Calculate the surface area of the prism.

Answers

Answer:

Step-by-step explanation:

length=1 m

base of triangle=10 m

height=5m

volume= 1/2×10×5×1=25 m cube.

slant height l=√(5²+5²)=√50=5√2

slant surface area=2[5√2×1]=10√2

area of front and back=2×1/2(10×5)=50

total surface area=50+10√2≈50+14.14≈64.14 m²

How many terms of the AP -10,-7,-4,-1,.............must be added to get the sum -104?


pls do this fasttttttstttt

Answers

Answer:

The value of n is complex

Step-by-step explanation:

The sequence is an arithmetic sequence

Given

First term a = -10

common diff d = -7-(-10) = -4-(-7) = 3

Sn = -104

get the number of terms n using the formula

Sn = n/2[2a+(n-1)d]

-104 = n/2[2(-10)+(n-1)(3)]

-104 = n/2[-20+3n-3]

-208 = n{3n-23}

-208 = 3n²-23n

3n²-23n+208 = 0

Factorize

n = 23±√23²+4(3)(208)/2(3)

n = 23±√529-2496/6

Since the value of n is a complex number, hence the value of n does not exist

A mountain bike originally priced at $964.00 is up for sale at a discount of 11%. What is the price of the mountain bike after the discount?

Answers

Answer:

857.96

Step-by-step explanation:

964/100=9.64

9.64x11=106.04

964-106.04=857.96

What is the area of the figure below?

Answers

The answer is 24 because 8*3

Lu can type 140 words in 5 minutes, and Ray can type 140 words in 4 minutes.

Answers

Answer:

mi no inglés no te podré contestar perdon

Answer:

(Hi!!) I do not know what you need in this Problem but first of all, if your looking for who typed the fastest it was Ray.

What's the reciprocal of 0.5?

Answers

Answer:

2

Step-by-step explanation:

The reciprocal of a number n is [tex]\frac{1}{n}[/tex]

Here n = 0.5, then reciprocal is

[tex]\frac{1}{0.5}[/tex] = 2

Two rival dry cleaners both advertise their prices. Store A’s prices are modeled by the expression 20x - 7, where x is the number of items brought in. Store B’s prices are modeled by the expression 4(5x + 7), where x is the number of items brought in. When do the two stores charge the same rate?

Answers

Answer:

Step-by-step explanation:

Store A price is 20x-7

store B price is 4(5x+7)

Where x represents the number of items.

Now, observe that the coefficient of both expressions is 20, because 4(5x+7)=20x+7

Remember that the coefficient of the x-variable is always the constant rate of change. Also, the given expressions can be expressed as linear functions

y=20x-7

y=20x+28

Observe that both Stores have already the same rate, which is  20.

Therefore, they have the same rate at any number of items dry cleaned.

What they have different is their initial condition, -7 and +7 respectively, but the rate is the same..

h(x)=-7x-11 when x=7

Answers

Answer:

-60

Step-by-step explanation:

h(x)=-7x-11

h(7)=-7(7)-11

h(7)=-49-11

h(7)=-60

Answer:

-60

Step-by-step explanation:

-7x7= -49

-49-11= -60

What is the length of line segment HJ?

Answers

The answer is 5 radical 3

Answer:

b = 5√3 (units)

Step-by-step explanation:

To solve this problem, use the pythagorean theorem, where a^2+b^2 = c^2, a and b are the legs of the triangle and c is the hypotenuse.

In this case, we are finding the missing leg, and we were given one of the legs and the hypotenuse.

a^2+b^2 = c^2 (pythagorean therorm)

5^2+b^2 = 10^2 (substitute one leg and the hypotenuse)

25+b^2 = 100 (square the numbers)

b^2 = 75 (subtract 25 from both sides)

b = √75

b = √25 * √3 (factor out√75)

b = 5 * √3 (find square root of√25)

b = 5√3

Hope I was able to help! Good Luck!

Subtract.

7/9−1/4

Enter your answer in simplest form

Answers

Answer:

0.5277

Step-by-step explanation:

Answer:

Step-by-step explanation:

7/9 -1/4

we need to make the fraction even bases

7x4=28 9x4=36      1x9= -9     4x9=36

28/36 -9/36

28-9=19

19/36

is this a corresponding angle, alternate exterior angle, vertical angle, a supplementary angle, or a linear pair?

Answers

Answer:

Vertical angles

Step-by-step explanation:

∠[tex]5[/tex] and ∠[tex]7[/tex] are formed by the same lines and are "opposite" to each other, so they are vertical angles by definition. Hope this helps!

Help please!! Solve for y.

Answers

Answer:

y = 3[tex]\sqrt{7}[/tex]

Step-by-step explanation:

The 2 right triangles inside the right triangle are similar, then ratios of corresponding sides are equal, that is

[tex]\frac{y}{9}[/tex] = [tex]\frac{7}{y}[/tex] ( cross- multiply )

y² = 63 ( take the square root of both sides )

y = [tex]\sqrt{63}[/tex] = 3[tex]\sqrt{7}[/tex]

40 - (6 + 2) x (5 - 2)
what answer solved in pemdas form

Answers

Answer:

i dont know what level this is

Step-by-step explanation:

40-(6+2) x (5-2)
40-8x3
40-24
=16

Find y in the parallelogram

Answers

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

RS || UT , SU oblique

Thus :

[tex]y = 45[/tex]

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x2 + 200x + 82

Answers

Answer:

Step-by-step explanation:

dy/dx = -32x + 200

maximum height when dy/dx = 0

-32x + 200 = 0

x = 6.25 seconds

y = -16·6.25² + 200·6.25 + 82 = 707 feet

Please answer will give brainliest

Answers

Answer:

yes

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

I can give you the formula if u want



Xin answered 182 questions correctly on her multiple choice math final that had a

total of 200 problems. What percentage of questions did Xin answer correctly on the

final exam?

Answers

Answer:

91%

Step-by-step explanation:

182/200 = .91

.91 = 91%

Hope that helps!

The percentage of questions Xin answered correctly on the final exam is 91% if he answered the number of 182 questions correctly on her multiple choice.

What is the percentage?

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We have:

Total number of problems = 200

Total number of Xin answered correctly = 182

Then the percentage of questions XIn answers correctly:

[tex]= \frac{182}{200} \times100[/tex]

= 0.91×100

= 91 %

Thus, the percentage of questions Xin answered correctly on the final exam is 91% if he answered the number of 182 questions correctly on her multiple choice.

Learn more about the percentage here:

brainly.com/question/8011401

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